Answer:
Step-by-step explanation:
Lin drew a triangle and a dilated triangle with a scale factor of [tex]\frac{1}{2}[/tex].
That means image of the original triangle is smaller than the preimage.
1). Center of dilation will be point A.
Since, triangle ACB has been reduced to form triangle ADE by a scale factor of [tex]\frac{1}{2}[/tex]
Scale factor = [tex]\frac{\text{Length of one side of the Image}}{\text{length of the side of the preimage}}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{AD}{AC}=\frac{1}{2}[/tex]
AD = [tex]\frac{1}{2}AC[/tex]
So the center of dilation is point A.
2). Since triangle ADE is half of the triangle ACB, triangle ACB is preimage (original) and triangle ADE is an image after dilation.
